It is shown that a very simple system of interaction com-binators, with only 3 symbols and 6 rules, is a universal model of distributed computation, in a sense that will be made precise. This paper is the continuation of the au-thor's work on interaction nets, inspired by Girard's proof nets for linear logic, but no preliminary knowledge of these topics is… (More)

To show that a formula A is not provable in propositional classical logic, it suuces to exhibit a nite boolean model which does not satisfy A. A similar property holds in the intuitionistic case, with Kripke models instead of boolean models (see for instance TvD88]). One says that the propositional classical logic and the propositional intuitionistic logic… (More)

Recently, Lincoln, Scedrov and Shankar showed that the multi-plicative fragment of second order intuitionistic linear logic is undecidable, using an encoding of second order intuitionistic logic. Their argument applies to the multiplicative-additive fragment, but it does not work in the classical case, because second order classical logic is decidable. Here… (More)